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Simplifying 4(3c + -8) + -11 = 4 + -8 + -23c + -15c Reorder the terms: 4(-8 + 3c) + -11 = 4 + -8 + -23c + -15c (-8 * 4 + 3c * 4) + -11 = 4 + -8 + -23c + -15c (-32 + 12c) + -11 = 4 + -8 + -23c + -15c Reorder the terms: -32 + -11 + 12c = 4 + -8 + -23c + -15c Combine like terms: -32 + -11 = -43 -43 + 12c = 4 + -8 + -23c + -15c Combine like terms: 4 + -8 = -4 -43 + 12c = -4 + -23c + -15c Combine like terms: -23c + -15c = -38c -43 + 12c = -4 + -38c Solving -43 + 12c = -4 + -38c Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '38c' to each side of the equation. -43 + 12c + 38c = -4 + -38c + 38c Combine like terms: 12c + 38c = 50c -43 + 50c = -4 + -38c + 38c Combine like terms: -38c + 38c = 0 -43 + 50c = -4 + 0 -43 + 50c = -4 Add '43' to each side of the equation. -43 + 43 + 50c = -4 + 43 Combine like terms: -43 + 43 = 0 0 + 50c = -4 + 43 50c = -4 + 43 Combine like terms: -4 + 43 = 39 50c = 39 Divide each side by '50'. c = 0.78 Simplifying c = 0.78
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